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Popular >

simplify e^{-t/2}sin^4(t)

Solution

simplify

e^{- \frac{t}{2}} sin^{4} (t)

Solution

\frac{sin ^{4} ( t )}{e ^{\frac{t}{2}}}

Solution steps

e^{- \frac{t}{2}} sin^{4} (t)

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{\frac{t}{2}}} sin^{4} (t)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{1 \cdot sin ^{4} ( t )}{e ^{\frac{t}{2}}}

Multiply:

1 \cdot sin^{4} (t) = sin^{4} (t)

= \frac{sin ^{4} ( t )}{e ^{\frac{t}{2}}}

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Frequently Asked Questions (FAQ)

What is e^{-t/2}sin^4(t) ?
The solution to e^{-t/2}sin^4(t) is (sin^4(t))/(e^{t/2)}